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Finding the Third Proportional to 48,373 and 72,842

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Solution

The third proportional to 48,373 and 72,842 is: 109,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,373 : 72,842 = 72,842 : x
  2. Step 2: Convert to fraction form
    48,373/72,842 = 72,842/x
  3. Step 3: Cross multiply
    48,373x = 72,842 × 72,842
  4. Step 4: Simplify right side
    48,373x = 5,305,956,964
  5. Step 5: Solve for x
    x = 5,305,956,964/48,373
  6. Step 6: Final answer
    x = 109,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.